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2\left(1+3x+3x^{2}+x^{3}\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(1+x\right)^{3}.
2+6x+6x^{2}+2x^{3}
Use the distributive property to multiply 2 by 1+3x+3x^{2}+x^{3}.
2\left(1+3x+3x^{2}+x^{3}\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(1+x\right)^{3}.
2+6x+6x^{2}+2x^{3}
Use the distributive property to multiply 2 by 1+3x+3x^{2}+x^{3}.